Question

Укажіть корені квадратного рівняння х2-4х+4=0Помогите пожалуйста ​

Answer 1

Ответ:

2

Объяснение:

D=16-16=0, один корінь

x1+x2=4

x1×x2=4 (за теоремою Вієта)

x1=x2=2

Answer 2

Ответ:

х=2

Объяснение:

D=-4²-4×1×4=0

D=0, рівняння має 1 корінь

х=4±0/2=2

Answer 3

I can help you with solving quadratic equations. The roots of a quadratic equation are the values of x that make the equation equal to zero. To find the roots, you can use the formula $$x_{1,2} = \frac{-b \pm \sqrt{D}}{2a}$$ where $$D = b^2 - 4ac$$ is the discriminant. In your case, the equation is $$x^2 - 4x + 4 = 0$$ so the coefficients are $$a = 1$$, $$b = -4$$, and $$c = 4$$. The discriminant is $$D = (-4)^2 - 4 \cdot 1 \cdot 4 = 0$$. Therefore, the roots are $$x_{1,2} = \frac{4 \pm \sqrt{0}}{2} = 2$$. This means that the equation has one double root at $$x = 2$$. You can check your answer by plugging it back into the equation: $$(2)^2 - 4 \cdot 2 + 4 = 0$$ which is true. You can also use an online calculator to solve quadratic equations and see the detailed steps. I hope this helps you. If you want to practice more, you can try some online exercises on quadratic equations.

: [Online calculator. Solving quadratic equations](https://ua.onlinemschool.com/math/assistance/equation/quadratic/) : [Exercises. Quadratic equations](https://ua.onlinemschool.com/math/practice/equation/quadratic/)